24 citations · 25 across the 7 of their papers we have counts for
9 papers
Minimal intersection radius for growing, non-homogeneous ellipsoids in
Barbara Giunti, Sean Hill, Felix X. -F. Ye
In this paper, we compute the Minimal Intersection Radius (MIR) of growing, non-homogeneous ellipsoids in arbitrary ambient dimension. We provide a geometric method to find the MIR…
SuPerPoV: Score and evolution of the stratospheric polar vortex via persistent homology
Jake Cordes, Barbara Giunti, Zheng Wu
Classifying the stratospheric polar vortex provides predictability for surface weather on extended-range timescales. However, providing a scientifically sound classification is cha…
The persistence of painting styles
Reetikaa Reddy Munnangi, Barbara Giunti
Art is a deeply personal and expressive medium, where each artist brings their own style, technique, and cultural background into their work. Traditionally, identifying artistic st…
Decomposing the Persistent Homology Transform of Star-Shaped Objects
Shreya Arya, Barbara Giunti, Abigail Hickok +3
In this paper, we study the geometric decomposition of the degree- Persistent Homology Transform (PHT) as viewed as a persistence diagram bundle. We focus on star-shaped objects…
Topological Data Analysis in smart manufacturing: State of the art and futuredirections
Martin Uray, Barbara Giunti, Michael Kerber +1
Topological Data Analysis (TDA) is a discipline that applies algebraic topology techniques to analyze complex, multi-dimensional data. Although it is a relatively new field, TDA ha…
Keeping it sparse: Computing Persistent Homology revisited
Ulrich Bauer, Talha Bin Masood, Barbara Giunti +3
In this work, we study several variants of matrix reduction via Gaussian elimination that try to keep the reduced matrix sparse. The motivation comes from the growing field of topo…
Expected Complexity of Persistence Barcode Computation via Matrix Reduction
Barbara Giunti, Guillaume Houry, Michael Kerber +1
We study the algorithmic complexity of computing the persistence barcode of a randomly generated filtration. We provide a general technique to bound the expected complexity of redu…
Amplitudes in persistence theory
Barbara Giunti, John S. Nolan, Nina Otter +1
The use of persistent homology in applications is justified by the validity of certain stability results. At the core of such results is a notion of distance between the invariants…
Dynamical systems on graphs through the signless Laplacian matrix
Barbara Giunti, Vincenzo Perri
There is a deep and interesting connection between the topological properties of a graph and the behaviour of the dynamical system defined on it. We analyse various kind of graphs,…